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Finding the Third Proportional to 469,611.50 and 999,951

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Solution

The third proportional to 469,611.50 and 999,951 is: 2,129,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,611.50 : 999,951 = 999,951 : x
  2. Step 2: Convert to fraction form
    469,611.50/999,951 = 999,951/x
  3. Step 3: Cross multiply
    469,611.50x = 999,951 × 999,951
  4. Step 4: Simplify right side
    469,611.50x = 999,902,002,401
  5. Step 5: Solve for x
    x = 999,902,002,401/469,611.50
  6. Step 6: Final answer
    x = 2,129,211.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.